One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach

Details One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach One-dimensional partially asymmetric simple exclusion process with open boundaries: Orthogonal polynomials approach

Jun 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000aipc..519..621s&link_type=abstract

STATISTICAL PHYSICS: Third Tohwa University International Conference. AIP Conference Proceedings, Volume 519, pp. 621-627 (2000

Physics

Condensed Matter

Statistical Mechanics

Order-Disorder Transformations, Statistical Mechanics Of Model Systems, Monte Carlo Methods

Scientific paper

One-dimensional asymmetric simple exclusion process with open boundarys is considered. This is a kind of lattice gas model. Particles enter the system at left edge, diffuse asymmetrically in the bulk and leave out of the system at right edge. They are also subject to the hard-core exclusion interaction. It has been known that the steady state properties of the model depends crutially on the boundary conditions. This boundary induced phase transition is explained from the point of view of the orthogonal polynomials. .

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